Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure
In this article, we study the Musielak-Orlicz-Gauss image problem based on the Gauss curvature flow in Li et al. We deal with some cases in which there is no uniform estimate for the Gauss curvature flow. By the use of the topological method in Guang et al., a special initial condition is chosen suc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-01-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0033 |
| _version_ | 1811171888526786560 |
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| author | Li Qi-Rui Yi Caihong |
| author_facet | Li Qi-Rui Yi Caihong |
| author_sort | Li Qi-Rui |
| collection | DOAJ |
| description | In this article, we study the Musielak-Orlicz-Gauss image problem based on the Gauss curvature flow in Li et al. We deal with some cases in which there is no uniform estimate for the Gauss curvature flow. By the use of the topological method in Guang et al., a special initial condition is chosen such that the Gauss curvature flow converges to a solution of the Musielak-Orlicz-Gauss image problem. |
| first_indexed | 2024-04-10T17:22:49Z |
| format | Article |
| id | doaj.art-827949f1932646ada10ada975983e85a |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-04-10T17:22:49Z |
| publishDate | 2023-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-827949f1932646ada10ada975983e85a2023-02-05T08:43:35ZengDe GruyterAdvanced Nonlinear Studies2169-03752023-01-0123141142910.1515/ans-2022-0033Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measureLi Qi-Rui0Yi Caihong1School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, ChinaSchool of Mathematics, Hangzhou Normal University, Hangzhou 311121, ChinaIn this article, we study the Musielak-Orlicz-Gauss image problem based on the Gauss curvature flow in Li et al. We deal with some cases in which there is no uniform estimate for the Gauss curvature flow. By the use of the topological method in Guang et al., a special initial condition is chosen such that the Gauss curvature flow converges to a solution of the Musielak-Orlicz-Gauss image problem.https://doi.org/10.1515/ans-2022-0033gauss curvature flowmonge-ampère equationmusielak-orlicz-gauss image problemtopological method35j2035k9652a30 |
| spellingShingle | Li Qi-Rui Yi Caihong Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure Advanced Nonlinear Studies gauss curvature flow monge-ampère equation musielak-orlicz-gauss image problem topological method 35j20 35k96 52a30 |
| title | Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure |
| title_full | Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure |
| title_fullStr | Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure |
| title_full_unstemmed | Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure |
| title_short | Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure |
| title_sort | convex hypersurfaces with prescribed musielak orlicz gauss image measure |
| topic | gauss curvature flow monge-ampère equation musielak-orlicz-gauss image problem topological method 35j20 35k96 52a30 |
| url | https://doi.org/10.1515/ans-2022-0033 |
| work_keys_str_mv | AT liqirui convexhypersurfaceswithprescribedmusielakorliczgaussimagemeasure AT yicaihong convexhypersurfaceswithprescribedmusielakorliczgaussimagemeasure |